Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium

This study investigates the self-sustaining traveling wave of nuclear fission in a uranium dicarbide medium by numerically solving a system of partial differential equations. The primary focus is on the neutron diffusion equation and nuclide balance equations, which are crucial for understanding the...

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Main Authors: M. R. Shcherbyna, K. O. Shcherbyna, V. O. Tarasov, S. I. Kosenko, S. A. Chernezhenko
Format: Article
Language:English
Published: Institute for Nuclear Research, National Academy of Sciences of Ukraine 2024-12-01
Series:Âderna Fìzika ta Energetika
Subjects:
Online Access:https://jnpae.kinr.kyiv.ua/25.4/Articles_PDF/jnpae-2024-25-0357-Shcherbyna.pdf
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author M. R. Shcherbyna
K. O. Shcherbyna
V. O. Tarasov
S. I. Kosenko
S. A. Chernezhenko
author_facet M. R. Shcherbyna
K. O. Shcherbyna
V. O. Tarasov
S. I. Kosenko
S. A. Chernezhenko
author_sort M. R. Shcherbyna
collection DOAJ
description This study investigates the self-sustaining traveling wave of nuclear fission in a uranium dicarbide medium by numerically solving a system of partial differential equations. The primary focus is on the neutron diffusion equation and nuclide balance equations, which are crucial for understanding the behavior of fission waves. By solving these equations, we aim to determine the propagation characteristics and assess the stability of nuclear fission waves in uranium dicarbide. Numerical analysis provides significant insights into the dynamics of neutron distribution and nuclide evolution, enhancing our understanding of the underlying physical processes and their implications for traveling wave reactor design.
format Article
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institution Kabale University
issn 1818-331X
2074-0565
language English
publishDate 2024-12-01
publisher Institute for Nuclear Research, National Academy of Sciences of Ukraine
record_format Article
series Âderna Fìzika ta Energetika
spelling doaj-art-d96399a28e294fff86d6a606c58ec75d2025-01-06T22:48:59ZengInstitute for Nuclear Research, National Academy of Sciences of UkraineÂderna Fìzika ta Energetika1818-331X2074-05652024-12-01254357365https://doi.org/10.15407/jnpae2024.04.357Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide mediumM. R. Shcherbyna0K. O. Shcherbyna1V. O. Tarasov2S. I. Kosenko3S. A. Chernezhenko4Odesa Polytechnic National University, Odesa, UkraineOdesa Polytechnic National University, Odesa, UkraineOdesa Polytechnic National University, Odesa, UkraineOdesa Polytechnic National University, Odesa, UkraineOdesa Polytechnic National University, Odesa, UkraineThis study investigates the self-sustaining traveling wave of nuclear fission in a uranium dicarbide medium by numerically solving a system of partial differential equations. The primary focus is on the neutron diffusion equation and nuclide balance equations, which are crucial for understanding the behavior of fission waves. By solving these equations, we aim to determine the propagation characteristics and assess the stability of nuclear fission waves in uranium dicarbide. Numerical analysis provides significant insights into the dynamics of neutron distribution and nuclide evolution, enhancing our understanding of the underlying physical processes and their implications for traveling wave reactor design.https://jnpae.kinr.kyiv.ua/25.4/Articles_PDF/jnpae-2024-25-0357-Shcherbyna.pdftraveling wave reactorepithermal neutronsuranium dicarbideneutron diffusion equationreactor designself-sustaining fission wave
spellingShingle M. R. Shcherbyna
K. O. Shcherbyna
V. O. Tarasov
S. I. Kosenko
S. A. Chernezhenko
Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium
Âderna Fìzika ta Energetika
traveling wave reactor
epithermal neutrons
uranium dicarbide
neutron diffusion equation
reactor design
self-sustaining fission wave
title Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium
title_full Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium
title_fullStr Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium
title_full_unstemmed Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium
title_short Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium
title_sort numerical analysis of the self sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium
topic traveling wave reactor
epithermal neutrons
uranium dicarbide
neutron diffusion equation
reactor design
self-sustaining fission wave
url https://jnpae.kinr.kyiv.ua/25.4/Articles_PDF/jnpae-2024-25-0357-Shcherbyna.pdf
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